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4003232616064 = 271141445715559
BaseRepresentation
bin111010010000010011010…
…000100000111010000000
3112011201001011102121112001
4322100103100200322000
51011042110022203224
612303020520113344
7562136556535543
oct72202320407200
915151034377461
104003232616064
1113038414a19a0
12547a2a605854
13230670746bc6
14dba867b885a
156e1eeb9c544
hex3a413420e80

4003232616064 has 128 divisors (see below), whose sum is σ = 8914980009600. Its totient is φ = 1774757068800.

The previous prime is 4003232616043. The next prime is 4003232616067. The reversal of 4003232616064 is 4606162323004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4003232616067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257285917 + ... + 257301475.

It is an arithmetic number, because the mean of its divisors is an integer number (69648281325).

Almost surely, 24003232616064 is an apocalyptic number.

4003232616064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003232616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457490004800).

4003232616064 is an abundant number, since it is smaller than the sum of its proper divisors (4911747393536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4003232616064 is a wasteful number, since it uses less digits than its factorization.

4003232616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20082 (or 20070 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 4003232616064 its reverse (4606162323004), we get a palindrome (8609394939068).

The spelling of 4003232616064 in words is "four trillion, three billion, two hundred thirty-two million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1408 1804 2624 3608 4457 5248 7216 8914 14432 15559 17828 28864 31118 35656 49027 57728 62236 71312 98054 124472 142624 171149 182737 196108 248944 285248 342298 365474 392216 497888 570496 637919 684596 730948 784432 995776 1275838 1369192 1461896 1568864 1991552 2010107 2551676 2738384 2923792 3137728 4020214 5103352 5476768 5847584 6275456 7017109 8040428 10206704 10953536 11695168 14034218 16080856 20413408 21907072 23390336 28068436 32161712 40826816 56136872 64323424 69346463 81653632 112273744 128646848 138692926 224547488 257293696 277385852 449094976 554771704 762811093 898189952 1109543408 1525622186 2219086816 2843204983 3051244372 4438173632 5686409966 6102488744 8876347264 11372819932 12204977488 22745639864 24409954976 31275254813 45491279728 48819909952 62550509626 90982559456 97639819904 125101019252 181965118912 250202038504 363930237824 500404077008 1000808154016 2001616308032 4003232616064